The 46-year-old is based in Melbourne, Australia, but is hoping to help Scotland win in Glasgow and increase his chances of being chosen for his country for next year's Commonwealth Games in the city.
Next week's championships are being held at Kelvingrove Lawn Bowls Centre, which will also be the venue for the 2014 Games.
Graeme, who won a gold medal as a member of the triples team at the World Championships in Adelaide last December, also competed at the Manchester Games in 2002. He met Bowls Scotland head coach David Gourlay at Kelvingrove for a pre-competition training session.
The six-day tournament is a chance for players to meet the selection criteria for Glasgow 2014. To be considered they must win two head-to-head matches.
Mr Gourlay said the competition was a chance for players to compete against top class opposition to test their performance.
He said: "At this stage I'm more bothered about players playing and winning games to make the selection criteria than I am about them winning medals."
Scotland will field two teams at Kelvingrove, Clyde and Kelvin. Among the 24 players on both teams is four times Games player Margaret Letham, 57, from Bothwell, and current World Champion Paul Foster, 37, from Irvine.
They will be up against teams from South Africa, New Zealand, Canada, England, Malaysia and the world No 1, Australia.
The championships run from Monday until next Saturday. Entry for spectators is free and each day will consist of three sessions starting at 9am, 12.15pm and 3.45pm.